DEVELOPMENT AND ANALYSIS OF A NUMERICAL MODEL FOR CALCULATING THE BRIGHTNESS TEMPERATURE OF THE ATMOSPHERE IN THE MAPLE ENVIRONMENT BASED ON ITU-R RECOMMENDATIONS

Abstract

The article is devoted to the development and analysis of a simulation model for calculating the downward luminous temperature, implemented in the Maple environment based on ITU-R recommendations. The purpose of the article is to create a methodology and simulation model for numerical modelling of luminance temperature, as well as to evaluate the effectiveness of iterative and recursive methods, taking into account their performance and practical application. The resear ch tasks include the development of algorithms for calculating luminance temperature, the implementation of the model in Maple, the analysis of the dependence of luminance temperature on elevation angles and frequencies, the comparison of iterative and recursive approaches in terms of key parameters, and the evaluation of the model's accuracy relative to reference data. The results demonstrate the correctness of the model, confirmed by the proximity of the calculated luminous temperature values to the actual data. The iterative method proved to be faster, while the recursive approach better illustrates the physical model. Numerical modelling reflects the dependence of brightness temperature on elevation angles, which is consistent with physical principles. Field of application: covers meteorology (analysis of atmospheric radiation), telecommunications (assessment of 5G/6G signal attenuation), remote sensing of the Earth, and education (demonstration of RTE and algorithms). Prospects include the integration of scattering and real-time data.